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Finding the Fourth Proportional to 272.81, 409.40 and 151.16

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Solution

The fourth proportional to 272.81, 409.40 and 151.16 is: 226.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.81 : 409.40 = 151.16 : x
  2. Step 2: Convert to fraction form
    272.81/409.40 = 151.16/x
  3. Step 3: Cross multiply
    272.81x = 409.40 × 151.16
  4. Step 4: Simplify right side
    272.81x = 61,884.90
  5. Step 5: Solve for x
    x = 61,884.90/272.81
  6. Step 6: Final answer
    x = 226.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.